(7x+2)-(2x^2+6x+8)=

Solution for (7x+2)-(2x^2+6x+8)= equation:

Simplifying
(7x + 2) + -1(2x2 + 6x + 8) = 0

Reorder the terms:
(2 + 7x) + -1(2x2 + 6x + 8) = 0

Remove parenthesis around (2 + 7x)
2 + 7x + -1(2x2 + 6x + 8) = 0

Reorder the terms:
2 + 7x + -1(8 + 6x + 2x2) = 0
2 + 7x + (8 * -1 + 6x * -1 + 2x2 * -1) = 0
2 + 7x + (-8 + -6x + -2x2) = 0

Reorder the terms:
2 + -8 + 7x + -6x + -2x2 = 0

Combine like terms: 2 + -8 = -6
-6 + 7x + -6x + -2x2 = 0

Combine like terms: 7x + -6x = 1x
-6 + 1x + -2x2 = 0

Solving
-6 + 1x + -2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
3 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.5x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -0.5x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.5x + x2 = 0 + -3
-0.5x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.5x + x2 = -3

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -3 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -3 + 0.0625

Combine like terms: -3 + 0.0625 = -2.9375
0.0625 + -0.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.